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When (if) you learn more advanced mathematics you will find that there are, in fact 3 cube roots for any non-zero number (in the complex field). In general, there are n nth roots (de Moivre's theorem). However, only one of the cube roots can be a real number, the other two are complex numbers.

The reason is that the product of a pair of negative numbers is positive. As a result both x and -x are square roots of x^2. But the product of three negative numbers is itself negative, so for cube roots the signs match up.

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Q: Why are there two integer answers for square roots but only one integer answer for cubed roots?
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Related questions

What are the 2 main types of roots?

The two main roots in math are square roots and cubed roots. The square root is what number squared is your original number. For example the square root of 25 is 5 because 5 x 5 is 25. For cubed roots it is what numbered cubed is your original number.


What do you call a number with integer square roots?

a perfect square


What has integer's as square roots?

perfect squares


Are square roots of positive integers rational?

Only if the integer is a perfect square.


How are square roots and perfect squares related?

The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.


Can integers be square roots?

Of course they can. Every integer greater than zero is a square root.


Is the square root of 95 rational irrational or not a real number?

Since 95 is positive, its square root is real. Only negative numbers have non-real square roots. That leaves the question of whether it is rational or irrational. An integer's square root can only be rational if it is itself an integer. But 95 is not a perfect square, so it's square root is not an integer. Therefore the square root is irrational.


What are the square roots of 150?

There are two distinct roots of any positive integer, the absolute value and its negative equivalent. Therefore, the square roots of 150, rounded to two decimal places, are ±12.25.


Is the number 120 a square number?

120 is not the square of an integer, its square roots, rounded to two decimal places, are ±10.95.


What are roots in mathematics?

Roots in math are like the opposite of exponents, kind of like multiplying and dividing, and adding and subtracting. If you take square a number, and then take the square root of that number, you just undid everything. If 9 squared is 81, then the square root of 81 is 9. If 5 cubed is 125, then the cubed root of 125 is 5.


For how many integers x in 1 to 2010 is x squared plus x cubed the square of an integer?

List column of numbers 1-30. Use Excel, or a calculator, to calculate x squared plus x cubed. In the next column, calculate square roots. The ones that are integers go in a pattern. (Look at the numbers that are one larger than the ones that work.) Hint: Answer is a prime between 40 and 50.


Is the square root of 170 a rational number?

No. The only square roots of integers that are rational numbers only when the integer is a perfect square.


What ARE the square roots of the multiples of 12?

There are infinite answers to this question!


What is the inverse operation of exponential functions?

Square roots? for example, 5 to the 2 is the square root of 5. 6 to the 3 is the cubed root of 6.


What is the square root of a perfect square?

There are two square roots of a perfect square: a positive number and the same number as a negative number. The square root of a perfect square will always be an integer.


Is the square root of 100 considered an integer?

The square roots of 100 are +10 and -10 . They're both integers.


Is the square root of 5 an integer?

no.No. The square root of 5 is an irrational number. The two closest numbers with integer square roots are 4 (with a square root of 2) and 9 (with a square root of 3). Since there are no integers between 2 and 3 and 5 lies between 4 and 9, it's pretty evident that it can't have an integer square root.


Can numbers that are not square have square roots?

Yes and no. It depends on your definition of square root. By the actual one, yes. All non-negative numbers have a square root. That square root might be irrational but it has a square root, nonetheless. 10 isn't a square number because there's no integer that can be squared to make ten but 10 definitely has a square root: 3.16227766....... If by square root you mean an integer square root, then no. If a number has an integer as its square root then you could square that integer to get the number, making it a square number.


How many cubed roots are there in number 27?

There are 3 cube roots of 27. There are 2 square roots of 27 ( or any real number ). There are 4 fourth roots of 27 and so on:)


Why is it there are 2 roots in a square root?

There are two possible answers because if you square a negative number, you will get a positive answer.


What square roots lie between 5 and 6?

Counting only integer square roots, since sqrt(5) is equal to ±25 and sqrt(6) is equal to ±36, the square roots of the integers between 25 and 36, and between -36 and -25, are between 5 and 6 inclusive.


What is the integer of -square root of 9?

The square roots of 9 are +3 and -3. The integers of their negatives are -3 and +3 respectively.


What is the square root integers of 200?

The square root of 200 is not an integer (whole number). In rounded form, the two square roots of 200 are positive and negative 14.14214... .


Most square roots can be found as the distances between vertices on a square or triangular grid but not 6 and so I wonder why there is no square root of 6?

There is a square root of 6, but it is not an integer. It is ~2.4495


The square root of a integer will always be an integer?

Obviously not. The square root of 1 is 1. The square root of 4 is 2. So the square roots of 2 and 3 are somewhere between 1 and 2. Just try entering root 2 in your calculator and try not to ask stupid questions.

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